Least Common Multiple of 1452/504, 3621/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1452/504, 3621/822 quickly i.e. 292094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1452/504, 3621/822 is 292094.

LCM(1452/504, 3621/822) = 292094

LCM of 1452/504, 3621/822

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1452/504,3621/822

Given numbers are 1452/504,3621/822

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1452,3621

Least Common Multiple of Numerators i.e. LCM of 1452,3621 is 1752564.

GCF of Denominators means GCF of 504,822 as per the given fractions.

GCF of 504,822 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1452,3621

LCM of Fractions 1452/504,3621/822 is 292094

3 1452, 3621
484, 1207

∴ So the LCM of the given numbers is 3 x 484 x 1207 = 1752564

Least Common Multiple of 1452,3621 with GCF Formula

Least Common Multiple of 1452,3621 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1452,3621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1452,3621) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(1452,3621) x common factors =3 x 1 = 3

LCM(1452,3621) = ( 1452 × 3621 ) / 3

LCM(1452,3621) = 5257692 / 3

LCM(1452,3621) = 1752564


Lets's calculate GCF of 504,822

2 504, 822
3 252, 411
84, 137

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1752564/6

Therefore the LCM of Fractions 1452/504,3621/822 is 292094

Greatest Common Factor of 504,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,822 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 504,822 . The biggest common factor number is the GCF number.
So the greatest common factor 504,822 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1452/504, 3621/822

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1452/504, 3621/822?

Answer: LCM of Numerators as per given numbers 1452/504, 3621/822 is

LCM of Numerators i.e. for 1452,3621 is 1752564

GCF of denominators i.e. for 504,822 is 6.

Thus, LCM of Fractions is 292094.Finally, LCM of Fractions for 1452/504, 3621/822 is 292094.